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Simplifying 5(3x) + 4(40) + -15x = -4(5x + 5) + 20 Remove parenthesis around (3x) 5 * 3x + 4(40) + -15x = -4(5x + 5) + 20 Multiply 5 * 3 15x + 4(40) + -15x = -4(5x + 5) + 20 Multiply 4 * 40 15x + 160 + -15x = -4(5x + 5) + 20 Reorder the terms: 160 + 15x + -15x = -4(5x + 5) + 20 Combine like terms: 15x + -15x = 0 160 + 0 = -4(5x + 5) + 20 160 = -4(5x + 5) + 20 Reorder the terms: 160 = -4(5 + 5x) + 20 160 = (5 * -4 + 5x * -4) + 20 160 = (-20 + -20x) + 20 Reorder the terms: 160 = -20 + 20 + -20x Combine like terms: -20 + 20 = 0 160 = 0 + -20x 160 = -20x Solving 160 = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 160 + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 160 + 20x = 0 Add '-160' to each side of the equation. 160 + -160 + 20x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 20x = 0 + -160 20x = 0 + -160 Combine like terms: 0 + -160 = -160 20x = -160 Divide each side by '20'. x = -8 Simplifying x = -8
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